Geodesic
Principal ideals in the semigroup of binary relations on a finite set: What happens when one element is added to the set.
Semigroup forum, Tome 44 (1992) no. 1, pp. 129-132.

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Mots-clés : principal ideals, semigroups of binary relations, covering relations, partially ordered set of ideals 
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     author = {M. Breen},
     title = {Principal ideals in the semigroup of binary relations  on a finite set: {What} happens when one element is added to the set.},
     journal = {Semigroup forum},
     pages = {129--132},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {1992},
     zbl = {0763.20023},
     url = {http://geodesic.mathdoc.fr/item/SF_1992__44_1_135137/}
}
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M. Breen. Principal ideals in the semigroup of binary relations  on a finite set: What happens when one element is added to the set.. Semigroup forum, Tome 44 (1992) no. 1, pp. 129-132. http://geodesic.mathdoc.fr/item/SF_1992__44_1_135137/